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Finding the Fourth Proportional to 462.96, 638.77 and 288.21

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Solution

The fourth proportional to 462.96, 638.77 and 288.21 is: 397.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.96 : 638.77 = 288.21 : x
  2. Step 2: Convert to fraction form
    462.96/638.77 = 288.21/x
  3. Step 3: Cross multiply
    462.96x = 638.77 × 288.21
  4. Step 4: Simplify right side
    462.96x = 184,099.90
  5. Step 5: Solve for x
    x = 184,099.90/462.96
  6. Step 6: Final answer
    x = 397.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.